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Finding the Fourth Proportional to 901.21, 1,351.27 and 352.74

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Solution

The fourth proportional to 901.21, 1,351.27 and 352.74 is: 528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.21 : 1,351.27 = 352.74 : x
  2. Step 2: Convert to fraction form
    901.21/1,351.27 = 352.74/x
  3. Step 3: Cross multiply
    901.21x = 1,351.27 × 352.74
  4. Step 4: Simplify right side
    901.21x = 476,646.98
  5. Step 5: Solve for x
    x = 476,646.98/901.21
  6. Step 6: Final answer
    x = 528.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.